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Journal ArticleDOI

A Parametric Texture Model Based on Joint Statistics of Complex Wavelet Coefficients

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TLDR
A universal statistical model for texture images in the context of an overcomplete complex wavelet transform is presented, demonstrating the necessity of subgroups of the parameter set by showing examples of texture synthesis that fail when those parameters are removed from the set.
Abstract
We present a universal statistical model for texture images in the context of an overcomplete complex wavelet transform. The model is parameterized by a set of statistics computed on pairs of coefficients corresponding to basis functions at adjacent spatial locations, orientations, and scales. We develop an efficient algorithm for synthesizing random images subject to these constraints, by iteratively projecting onto the set of images satisfying each constraint, and we use this to test the perceptual validity of the model. In particular, we demonstrate the necessity of subgroups of the parameter set by showing examples of texture synthesis that fail when those parameters are removed from the set. We also demonstrate the power of our model by successfully synthesizing examples drawn from a diverse collection of artificial and natural textures.

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References
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Journal ArticleDOI

Statistics of natural images: Scaling in the woods.

TL;DR: In this article, the statistics of an ensemble of images taken in the woods were studied and it was shown that local quantities such as contrast and power spectra exhibit scaling with a nontrivial exponent.
Proceedings Article

Statistics of Natural Images: Scaling in the Woods

TL;DR: This work gathers images from the woods and finds that these scenes possess an ensemble scale invariance, and this non-Gaussian character cannot be removed through local linear filtering, meaning information is maximized at fixed channel variance.
Journal ArticleDOI

Filters, Random Fields and Maximum Entropy (FRAME): Towards a Unified Theory for Texture Modeling

TL;DR: The resulting model, called FRAME (Filters, Random fields And Maximum Entropy), is a Markov random field (MRF) model, but with a much enriched vocabulary and hence much stronger descriptive ability than the previous MRF models used for texture modeling.
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A multiscale random field model for Bayesian image segmentation

TL;DR: Simulations on synthetic images indicate that the new algorithm performs better and requires much less computation than MAP estimation using simulated annealing, and is found to improve classification accuracy when applied to the segmentation of multispectral remotely sensed images with ground truth data.
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